Six boxes and the golden ratio
According to some spiritual teachings, a polyhedron already familiar to us — a compound of two tetrahedra (stellated octahedron) — is not just a geometric form. This form is endowed with powerful energy and maybe even supernatural properties.
1. The radius of the sphere circumscribing the polyhedron;
2. The radius of the sphere inscribed in the polyhedron;
3. The surface area of the polyhedron;
4. The volume of the polyhedron.